Four-body problem and BEC-BCS crossover in a quasi-one-dimensional cold fermion gas

Details Four-body problem and BEC-BCS crossover in a quasi-one-dimensional cold fermion gas Four-body problem and BEC-BCS crossover in a quasi-one-dimensional cold fermion gas

2005-01-26

arxiv.org/abs/cond-mat/0501641v2

Phys. Rev. Lett. 95, 080403 (2005)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 1 figure, published in Phys. Rev. Lett., breathing mode calculation added

Scientific paper

10.1103/PhysRevLett.95.080403

The four-body problem for an interacting two-species Fermi gas is solved analytically in a confined quasi-one-dimensional geometry, where the two-body atom-atom scattering length $a_{aa}$ displays a confinement-induced resonance. We compute the dimer-dimer scattering length $a_{dd}$, and show that this quantity completely determines the many-body solution of the associated BEC-BCS crossover phenomenon in terms of bosonic dimers.

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